Base | Representation |
---|---|
bin | 100000111100000… |
… | …1010100100101000 |
3 | 2212000201010120000 |
4 | 1001320022210220 |
5 | 4230420224113 |
6 | 301401103000 |
7 | 36250256034 |
oct | 10170124450 |
9 | 2760633500 |
10 | 1105242408 |
11 | 517975a86 |
12 | 26a187a60 |
13 | 147c97bba |
14 | a6b051c4 |
15 | 6706e373 |
hex | 41e0a928 |
1105242408 has 80 divisors (see below), whose sum is σ = 3146563860. Its totient is φ = 362361600.
The previous prime is 1105242401. The next prime is 1105242409. The reversal of 1105242408 is 8042425011.
1105242408 is a `hidden beast` number, since 1 + 10 + 5 + 242 + 408 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 902521764 + 202720644 = 30042^2 + 14238^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (1105242401) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25548 + ... + 53508.
Almost surely, 21105242408 is an apocalyptic number.
1105242408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1105242408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573281930).
1105242408 is an abundant number, since it is smaller than the sum of its proper divisors (2041321452).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1105242408 is a wasteful number, since it uses less digits than its factorization.
1105242408 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 28040 (or 28027 counting only the distinct ones).
The product of its (nonzero) digits is 2560, while the sum is 27.
The square root of 1105242408 is about 33245.1862380105. The cubic root of 1105242408 is about 1033.9174061408.
Adding to 1105242408 its reverse (8042425011), we get a palindrome (9147667419).
The spelling of 1105242408 in words is "one billion, one hundred five million, two hundred forty-two thousand, four hundred eight".
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